| 有限群的PCSM-子群 |
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| 引用本文： | 张雪梅,朱亚萍. 有限群的PCSM-子群[J]. 邵阳学院学报(自然科学版), 2010, 7(4): 1-3 |
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| 作者姓名： | 张雪梅 朱亚萍 |
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| 作者单位： | 盐城工学院基础教学部,江苏盐城224051 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 设是一个有限群,为的子群,如果对于的任意Sylow子群的极大子群,至少存在的一个共轭子群,,使得,则称子群为的PCSM-子群.本文利用群的PC-SM-子群获得了群为超可解群的一个充要条件.
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| 关 键 词： | PCSM-子群 极大子群 p-超可解 |
PCSM-Subgroups of Finite Groups |
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| ZHANG Xue-mei,ZHU Ya-ping. PCSM-Subgroups of Finite Groups[J]. Journal of Shaoyang University(Natural Science Edition), 2010, 7(4): 1-3 |
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| Authors: | ZHANG Xue-mei ZHU Ya-ping |
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| Affiliation: | (Department of Basic Sciences,Yancheng Institute of Technology,Yancheng,Jiangsu,224051) |
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| Abstract: | Suppose G is a limited group and H is a subgroup of G,subgroup H of G is called PCSM-Subgroups in G if there exists at least one G-conjugate of each maximal subgroup M of any Sylow subgroup of G,such that HMx=MxH for some xG.In this paper,a sufficient or necessary condition of a finite group G which is P-supersolvable is obtained by using the PCSM-Subgroups of G. |
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| Keywords: | PCSM-Subgroup maximal subgroup P-supersolvable |
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